Q2. Contrast
Fisher’ price index using following data and show how it satisfied the time and
factor reversal tests.

Commodity

YEAR

2008

2009

Quantity

Price

Quantity

Price

A

20

12

30

14

B

13

14

15

20

C

12

10

20

15

D

2

6

10

4

E

8

8

5

6

5

Q3. The
following data relate to the scores obtained by 9 salesmen of a company in a
intelligence test and their weekly sales in (Rs. 000’s)

Salesmen

A

B

C

D

E

F

G

H

I

Test Scores

50

60

50

60

80

50

80

40

70

Weekly Sales

30

60

40

50

60

30

70

50

60

(a)Obtain
the two regression equations.

(b)If
the intelligence test score of a salesmen in 65, What would be his expected
weekly sales?

Q4. A
footwear company has launched a 100% leather shoe for both male and female
customers. The company conducted a survey to understand the perception of
customers about a 100% leather shoe. The company has taken a random sample of
130 male and 150 female customers. Out of 130 males, 50 responded that a 100%
leather shoe matches their lifestyle. Out of 150 females, 90 females responded
that a 100% leather shoe matches their lifestyle. Does this indicate that there
is a significant difference in the proportion of male and female customers in
the population stating that a 100% leather shoe matches with their lifestyle?
Test the hypothesis by taking 95% as
confidence level.

Q5. Discuss
the role of mathematical and statistics in various business decisions.

Q6. The
weekly sales of two products A and B were recorded as given below:

Product A

59

75

27

63

27

28

56

Product B

150

200

125

310

330

250

225

Q7. (a)
A man borrows Rs. 40,000 and agrees to pay with a total interest of 5,600 in 12
instalments, each instalments being less than the preceding by Rs. 400. What should be his first instalment?